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Finding the Fourth Proportional to 490,328.64, 735,404.67 and 135,254.61

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Solution

The fourth proportional to 490,328.64, 735,404.67 and 135,254.61 is: 202,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,328.64 : 735,404.67 = 135,254.61 : x
  2. Step 2: Convert to fraction form
    490,328.64/735,404.67 = 135,254.61/x
  3. Step 3: Cross multiply
    490,328.64x = 735,404.67 × 135,254.61
  4. Step 4: Simplify right side
    490,328.64x = 99,466,871,833.03
  5. Step 5: Solve for x
    x = 99,466,871,833.03/490,328.64
  6. Step 6: Final answer
    x = 202,857.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.